Andrei Ludu
- Title
- Professor
- Andrei.Ludu@erau.edu Email
- Department
- Mathematics Department
- College
- College of Arts & Sciences
Office Hours
MTWThF: 10:00-17:00Areas of Expertise
Mathematical physics
Nonlinear science, nonlinear equations.
Nuclear theory
Solitons
Molecular biophysics
Differential geometry.
Algebraic topology
Fractional calculus
External Links
The views expressed on faculty and external web pages are those of the author and do not necessarily represent those of Embry-Riddle Aeronautical University.
Biography
Education
- Ph.D. - Doctor of Philosophy in Physics, Institute of Atomic Physics
Currently Teaching
- MA 502: Boundary Value Problems
- MA 441: Math Methods Engr & Physics I
- MA 442: Math Methods Engr & Physics II
Courses Taught
MA-669, MA-599, MA-543, MA-490, MA-443, MA-399, MA-348, MA-345, MA-242 and MA-241.Research Projects
Publications
- Hydrodynamics Publications (2022)
- Kinematics of Fluids Publications (2022)
- The Replacement Rule for Nonlinear Shallow Water Waves Publications (2022)
- A Numerical Solution of Water Flow in Unsaturated Soil with Evapotraspiration Publications (2021)
- A Mathematical Model for Transport and Growth of Microbes in Unsaturated Porous Soil Publications (2021)
- Nonlinear Schrödinger equation solitons on quantum droplets Pure Portfolio (2021)
- Nonlinear Schrödinger equation solitons on quantum droplets Publications (2021)
- Some theory and applications of 2N-dimensional canonical systems Pure Portfolio (2021)
- A Mathematical Model for Transport and Growth of Microbes in Unsaturated Porous Soil Pure Portfolio (2021)
- Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry Publications (2020)
- Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry Pure Portfolio (2020)
- 2N-Dimensional Canonical Systems and Applications Publications (2020)
- Non-compact manifolds with Killing spinors Pure Portfolio (2020)
- Reinforcement learning rewards effect on autonomous aerial vehicles' target identification task Pure Portfolio (2020)
- Ice Spiral Patterns on the Ocean Surface Publications (2019)
- Rotating hollow patterns in fluids Pure Portfolio (2019)
- Nonlocal Symmetries for Time-Dependent Order Differential Equations Publications (2018)
- Nonlocal symmetries for time-dependent order differential equations Pure Portfolio (2018)
- Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole Publications (2018)
- Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole Pure Portfolio (2018)
- Differential Equations of Dynamical Order Publications (2017)
- Almost-BPS Solutions in Multi-Center Taub-NUT Publications (2017)
- Almost-BPS solutions in multi-center Taub-NUT Pure Portfolio (2017)
- Energy Transfer From Wind to Wave Groups: Theory and Experiment Pure Portfolio (2017)
- Differential Equations of Time Dependent Order Pure Portfolio (2016)
- Presentation CCS2016.3.pdf Pure Portfolio (2016)
- Energy Transfer from Wind to Wave Groups: Theory and Experiment Publications (2016)
- Boundaries of a Complex World Pure Portfolio (2016)
- Sensor Sensitivity and Reinforcement Learning Models on Target Acquisition for Autonomous Vehicle Pure Portfolio (2015)
- Sensor sensitivity and reinforcement learning models on target acquisition task for autonomous vehicle Pure Portfolio (2015)
- Nonlinear Decelerator for Payloads in Aerial Delivery Systems. I: Design and Testing Pure Portfolio (2014)
- Experimental and theoretical studies on visible light attenuation in water Pure Portfolio (2014)
- Experiments drop container and payload Pure Portfolio (2014)
- Experiments drop container and payload Pure Portfolio (2014)
- Experiment container and payload drop on water. Pure Portfolio (2014)
- Experiment drop container and payload on different types of ground Pure Portfolio (2014)
- Water Wave Height Measurements Using Laser Beam Reflections Pure Portfolio (2014)
- A Novel Approach for Reconstructing Water Surface Using Shape from Shading Techniques Pure Portfolio (2014)
- Modeling Autonomous Aerial Vehicle Target Identification Tasks Using Reinforcement Learning Pure Portfolio (2014)
- Boundaries of a Complex World, ISBN 978-3-662-49078-5 (2016) Pure Portfolio (2014)
- Modeling autonomous aerial vehicle target identification tasks using reinforcement learning Pure Portfolio (2014)
- Modeling Autonomous Aerial Vehicle Target Identification Tasks Using Reinforcement Learning Pure Portfolio (2014)
- Scaling Analyses Based on Wavelet Transforms for the Talbot Effect Pure Portfolio (2013)
- Burglary Crime Analysis Using Logistic Regression Pure Portfolio (2013)
- XV International Conference on Geometry, Integrability and Quantization, Varna Pure Portfolio (2013)
- The 8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2013)
- Burglary crime analysis using logistic regression Pure Portfolio (2013)
- XIV International Conference on Geometry Integrability and Quantization, Varna, Bulgaria. Pure Portfolio (2012)
- Topology and Geometry of Mixing of Fluids Publications (2012)
- Vortex patterns beyond hypergeometric Pure Portfolio (2012)
- ACE - A Model Centered REU Program Standing on the Three Legs of CSE: Analysis, Computation and Experiment Publications (2012)
- Vortex Patterns Beyond Hypergeometric Publications (2012)
- Dipole Vortex Patterns. Beyond Hypergeometric Pure Portfolio (2012)
- Vortex States in Axially Symmetric Superconductors in Applied Magnetic Field Pure Portfolio (2012)
- ACE - A Model Centered REU Program Standing on the Three Legs of CSE: Analysis, Computation and Experiment Pure Portfolio (2012)
- Nonlinear Waves and Solitons on Contours and Closed Surfaces Pure Portfolio (2012)
- XIII International Conference on Geometry Integrability and Quantization, Varna, Bulgaria Pure Portfolio (2011)
- The 7th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2011)
- Differential Geometry of Moving Surfaces and Its Relation to Solitons Publications (2011)
- Differential Geometry of Moving Surfaces and Its Relation to Solitons Publications (2011)
- Periodic solutions and refractory periods in the soliton theory for nerves and the locust femoral nerve Pure Portfolio (2011)
- Differential Geometry of Moving Surfaces and its Relations to Solitons Pure Portfolio (2011)
- Integrated Lab Textbook Pure Portfolio (2011)
- Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field Publications (2010)
- Analytic Treatment of Vortex States in Cylindrical Superconductors in Applied Axial Magnetic Field Pure Portfolio (2010)
- Is the Curvature of the Flagellum Involved in the Apparent Cooperativity of the Dynein Arms along the "9+2" Axoneme? Pure Portfolio (2010)
- Book Review: Visual Motion of Curves and Surfaces Publications (2010)
- Book Review: Visual Motion of Curves and Surfaces Pure Portfolio (2010)
- Elastic Axonemal Models: Solitary Wave Shapes Pure Portfolio (2009)
- The 6th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2009)
- Integrated Elements of Science Pure Portfolio (2009)
- Solitons in nerves Pure Portfolio (2008)
- Models of swimming in motile cells Pure Portfolio (2008)
- Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles Publications (2008)
- What is behind hypergeometric? Coalescence of singularities. Pure Portfolio (2008)
- Fiber bundle structure of Cartan frames in kinematics of fluid dynamics Pure Portfolio (2008)
- Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles Pure Portfolio (2008)
- Vortex structures in mesoscopic spheres (1, 2 , and 3) Pure Portfolio (2008)
- Internally Generated Nonlinear Waves in Filament Bundles Pure Portfolio (2007)
- The 5th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2007)
- Nonlinear Dispersion Relations Pure Portfolio (2007)
- Solitons and antisolitons on bounded surfaces Pure Portfolio (2005)
- The 4th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2005)
- Flagellar bend dynamics in African trypanosomes Pure Portfolio (2005)
- Nonlinear modeling of 3-d flagellar dynamics Pure Portfolio (2005)
- AIP Conference Proceedings Pure Portfolio (2005)
- Solitons and Antisolitons on Bounded Surfaces}, {\it Mathematics and Computer in Simulation Pure Portfolio (2005)
- ISIS: International Symposium on Interdisciplinary Science Pure Portfolio (2005)
- (Murray Gell Mann opening address) ISIS International Symposium on Interdisciplinary Science Pure Portfolio (2004)
- Plectics as a scientific theory through critical rationalism. Evaluation with examples from cell dynamics and Bose-Einstein condensates Pure Portfolio (2004)
- Nonlinear Resonant States and Scattering in One-dimensional BEC Model Pure Portfolio (2004)
- Scattering of NLS Solitons With Bound Quantum States Pure Portfolio (2004)
- The 3rd IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2003)
- Nonlinear equations and wavelets Pure Portfolio (2003)
- Analysis and classification of nonlinear dispersive evolution equations in the potential representation Pure Portfolio (2002)
- Analysis and Classification of Nonlinear Dispersive Evolution Equations in The Potential Representation Pure Portfolio (2002)
- Laplace Transform of Spherical Bessel Functions Pure Portfolio (2002)
- The 2nd IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia Pure Portfolio (2001)
- Special Session 'Integral Transforms,' Joint AMS Conference, New Orleans Pure Portfolio (2001)
- Antisoliton model for fission modes Pure Portfolio (2001)
- Soliton Excitations as Emitted Clusters on Nuclear Surfaces Pure Portfolio (2001)
- Non-linearity and self-similarity: patterns and clusters Pure Portfolio (2001)
- Soliton excitations as emitted clusters on nuclear surfaces Pure Portfolio (2001)
- The 7th International Wigner Symposium, University of Maryland. Pure Portfolio (2000)
- Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons Pure Portfolio (2000)
- Non-linear phenomena in nuclei Pure Portfolio (1999)
- 6th International Wigner Symposium, Istanbul. Pure Portfolio (1999)
- 3rd IMACS/IEEE International Multi-Conference CSSC'99, Athens, Greece Pure Portfolio (1999)
- The First IMACS International Conference on "NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY" Pure Portfolio (1999)
- Nonlinear Phenomena in Nuclei: The Antisoliton Model for Fission Pure Portfolio (1999)
- Nonlinearity and Self-similarity: Wavelets and Compactons on a Physical Background Pure Portfolio (1999)
- Nonlinear Phenomena in Nuclei: The Antisoliton Model for Fission Pure Portfolio (1999)
- Nonlinear Modes of Liquid Drops as Solitary Waves Publications (1998)
- Nonlinear Modes of Liquid Drops as Solitary Waves Pure Portfolio (1998)
- Wavelets and Quantum Algebras Pure Portfolio (1998)
- Solitons and Wavelets: Self-similar Patterns and Nonlinear Dynamics Pure Portfolio (1998)
- Patterns on liquid surfaces: cnoidal waves, compactons and scaling Pure Portfolio (1998)
- Hamiltonian System and Symmetries for Scale Invariant wavefunctions Pure Portfolio (1998)
- Continuous Mapping Between the Discrete Symmetries as q-Deformations Pure Portfolio (1997)
- Understanding Wavelets and Possible Applications in Nuclear Physics Pure Portfolio (1997)
- Patterns on Liquid Surfaces: Cnoidal Waves, Compactons and Scaling Pure Portfolio (1997)
- Nonlinear liquid drop model. Cnoidal waves Pure Portfolio (1997)
- Quasi-continuous Symmetries of Non-Lie Type Pure Portfolio (1997)
- Nonlinear Liquid Drop Model. Cnoidal Waves Pure Portfolio (1997)
- A Nonlinear Deformed su(2) Algebra with a Two-color Quasitriangular Hopf Structure Pure Portfolio (1997)
- Nonlinear deformed su(2) algebras involving two deforming functions Pure Portfolio (1996)
- Continuous Structures for Discrete Symmetries Pure Portfolio (1996)
- Generalized KdV Equation for Fluid Dynamics and Quantum Algebras Pure Portfolio (1996)
- Full Unified Hamiltonian Picture of the Traditional Nonlinear Models in The Context of The Rotator-Vibrator-Soliton-Model Pure Portfolio (1996)
- SU(1,1) Algebraic Description of One-dimensional Potentials within The R-matrix Theory Pure Portfolio (1996)
- Nonlinear Approach of Alpha and Cluster Decays in The Reaction Channel Pure Portfolio (1996)
- Nonlinear deformed su(2) algebras involving two deforming function Pure Portfolio (1996)
- Generalization KdV Equation for Fluid Dynamics and Quantum Algebras Pure Portfolio (1996)
- su(1, 1) algebraic description of one-dimensional potentials within the R-matrix theory Pure Portfolio (1996)
- Quasimolecular Resonances in alpha+20Ne Systems Pure Portfolio (1995)
- Quasimolecular resonances in the alpha +<sup>20</sup>Ne system Pure Portfolio (1995)
- Alpha+28Si Cluster Structure as Solitons on The Nuclear Surface Pure Portfolio (1995)
- Alpha+<sup>28</sup>Si cluster structure as solitons on the nuclear surface Pure Portfolio (1995)
- Quantum Deformation Algebra Studied as an Analytical Equivalent of s, d Interacting Boson Model: Energy Spectra Pure Portfolio (1993)
- A q-Tensorial Approach to q-Oscillators in U_q SU(2) Pure Portfolio (1993)
- A Generalization of The Deformed Algebra of Quantum Group SU_q (2) for Hopf Algebra Pure Portfolio (1993)
- A Unified Approach to The Electromagnetic Field Invariants Pure Portfolio (1993)
- On the Preformation Factors in Alpha Decay. Alpha Particles as Solitons Pure Portfolio (1993)
- A generalization of the deformed algebra of quantum group SU(2)<sub>q</sub> for Hopf algebra Pure Portfolio (1993)
- A q-tensorial approach to q-oscillators in U<sub>q</sub>(su(2)) Pure Portfolio (1993)
- A New Large Amplitude Collective Motion in Nuclei Pure Portfolio (1992)
- Dynamical Symmetry Breaking of SU(2) Model and The Quantum Group SU_q (2) Pure Portfolio (1992)
- Dynamical symmetry breaking in SU(2) model and the quantum group SU(2) <sub>q</sub> Pure Portfolio (1992)
- Cluster as Solitons on the Nuclear Surface Pure Portfolio (1991)
- A Group Theoretic Approach to the Magnetohydrodynamic Equations and Group Invariant Solutions Pure Portfolio (1990)
- A Group Theoretical Approach to The Magneto Hydrodynamic Equations and Group Invariant Solutions Pure Portfolio (1988)
- Group Analysis of Euler Equations in The Rotationally Symmetric Case Pure Portfolio (1988)
- Shock Wave Explozive Energy Generator of PZT Ferroelectric Pure Portfolio (1986)
- On the Quadratic Form n12 +n22 +n32 - n42 in Z4 Pure Portfolio (1986)
- Special Einstein-Lorentz Transformations. A Projective Approach Pure Portfolio (1985)
- The Effect of The Ambient on The Electrical Properties of BaTiO3 Pure Portfolio (1983)
Publications
View my research at:http://works.bepress.com/andrei_ludu/
Professional Experience
Nonlinear science.
Mathematical physics. Differential geometry. Algebraic topology. Nonlinear differential equations.
Fluid dynamics, solitons
Nuclear theory, exotic radioactivity, super-heavy nuclei.
Thermonuclear fusion. Hot and dense thermonuclear plasma.
Ultrahigh magnetic fields
Biophysics, theoretical molecular biology.
Wavelets, patterns.
Fractional calculus.
Quantum groups, Hopf algebras.
Memberships and Credentials
Director Wave Lab, COAS, ERAU.
Director IDEAS Program of Interdisciplinary Science at Northwestern State University, Natchitoches, Louisiana;
American Physical Society
Member: Editorial Board of Romanian Journal of Physics
Member: International. Association of Mathematical Physics
Member: SIAM Activity Group (SIAG) on Nonlinear Waves
International Who's Who of Professionals, Who's Who Historical Society
Recipient of the Exceptional National Grant of Merit, Bucharest University
International Association of Mathematical Physics
Affiliate: Institute of Physics, London, UK
E. P. Wigner International Committee for Mathematical Physics
New York Academy of Sciences, New York, NY
American Association for the Advancement of Science, New York, NY
American Physical Society, New York, NY
Awards, Honors and Recognitions
Bailey Award for Research, Northwestern University, 2005.